Question 1 [(1+2)+6+4 marks) consider the subspace w = span{(-1,1,,2,1)}. (a) () find the dot product of the two vectors given. (ii) find the dimension of w, explaining your reasoning. (b) use the gram-schmidt process to make the basis vectors into an orthogonal set. then make each vector into a unit vector. (c) find the orthogonal projection of the vector x=(2,1,1) onto w.